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(b7)(7b4)=(-b^7)(7b^4)=\Box

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Q. (b7)(7b4)=(-b^7)(7b^4)=\Box
  1. Identify Base and Exponents: We need to multiply two terms with the same base but different exponents. According to the properties of exponents, when multiplying two powers that have the same base, you can add the exponents. The base here is bb, and the exponents are 77 and 44.\newlineCalculation: (b7)(7b4)=1×b(7+4)×7=7b(7+4)=7b11(-b^7)(7b^4) = -1 \times b^{(7+4)} \times 7 = -7b^{(7+4)} = -7b^{11}

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